# Homework Help: Complex Numbers

1. Sep 2, 2012

### GreenPrint

1. The problem statement, all variables and given/known data

Evaluate (find the real and complex components) of the following numbers, in either rectangular or polar form:

$\sqrt{\frac{1+j}{4-8j}}$

2. Relevant equations

3. The attempt at a solution

I get to here and am not sure where to go from here

$\sqrt{-1/20+3/20j}$

I noticed that I can't used euler's identity here because (-1/20)^2+(3/20)^2 is not one. Thanks for any help you can provide
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Sep 2, 2012

### Dick

This would be a good time to change -1/20+3j/20 to polar form.

3. Sep 2, 2012

### jbunniii

Can you factor out a real number from $-1/20 + 3i/20$ so that what remains has unit magnitude? i.e. write it in the form

$$\frac{-1}{20} + \frac{3i}{20} = r(a + ib)$$

where $a^2 + b^2 = 1$